Just recording an nForum discussion touching on this, for ease of finding it.

]]>Add Jordan–Brouwer Separation Theorem (generalization to higher dimensions).

]]>In the process of beginning to compile a list of central theorems in topology, on top of the list of basic facts in topology that I had been compiling the last days (of course there is some remaining ambiguity in which of these two lists to place a given item) I have created a stub for *Jordan curve theorem*.